Central limit theorems for law-invariant coherent risk measures
Author
Abstract
Suggested Citation
Download full text from publisher
References listed on IDEAS
- Georg Pflug & Nancy Wozabal, 2010. "Asymptotic distribution of law-invariant risk functionals," Finance and Stochastics, Springer, vol. 14(3), pages 397-418, September.
- Rob Kaas & Marc Goovaerts & Jan Dhaene & Michel Denuit, 2008. "Modern Actuarial Risk Theory," Springer Books, Springer, edition 2, number 978-3-540-70998-5, March.
- Mokkadem, Abdelkader, 1988. "Mixing properties of ARMA processes," Stochastic Processes and their Applications, Elsevier, vol. 29(2), pages 309-315, September.
- Andrzej Ruszczyński & Alexander Shapiro, 2006.
"Optimization of Convex Risk Functions,"
Mathematics of Operations Research, INFORMS, vol. 31(3), pages 433-452, August.
- Andrzej Ruszczynski & Alexander Shapiro, 2004. "Optimization of Convex Risk Functions," Risk and Insurance 0404001, University Library of Munich, Germany, revised 08 Oct 2005.
- Krätschmer, Volker, 2007. "On {sigma}-additive robust representation of convex risk measures for unbounded financial positions in the presence of uncertainty about the market model," SFB 649 Discussion Papers 2007-010, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
- Puri, Madan L. & Tran, Lanh T., 1980. "Empirical distribution functions and functions of order statistics for mixing random variables," Journal of Multivariate Analysis, Elsevier, vol. 10(3), pages 405-425, September.
- Newey, Whitney K & Powell, James L, 1987. "Asymmetric Least Squares Estimation and Testing," Econometrica, Econometric Society, vol. 55(4), pages 819-847, July.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- repec:hum:wpaper:sfb649dp2010-056 is not listed on IDEAS
- Basteck, Christian & Daniëls, Tijmen R., 2010. "Every symmetric 3 x 3 global game of strategic complementarities is noise independent," SFB 649 Discussion Papers 2010-061, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
- repec:hum:wpaper:sfb649dp2010-055 is not listed on IDEAS
- Volker Kratschmer & Alexander Schied & Henryk Zahle, 2012. "Comparative and qualitative robustness for law-invariant risk measures," Papers 1204.2458, arXiv.org, revised Jan 2014.
- Niushan Gao & Denny Leung & Cosimo Munari & Foivos Xanthos, 2018. "Fatou property, representations, and extensions of law-invariant risk measures on general Orlicz spaces," Finance and Stochastics, Springer, vol. 22(2), pages 395-415, April.
- repec:hum:wpaper:sfb649dp2010-061 is not listed on IDEAS
- repec:hum:wpaper:sfb649dp2010-054 is not listed on IDEAS
- Nikolaus Hautsch & Peter Malec & Melanie Schienle, 2014.
"Capturing the Zero: A New Class of Zero-Augmented Distributions and Multiplicative Error Processes,"
Journal of Financial Econometrics, Oxford University Press, vol. 12(1), pages 89-121.
- Nikolaus Hautsch & Peter Malec & Melanie Schienle, 2013. "Capturing the Zero: A New Class of Zero-Augmented Distributions and Multiplicative Error Processes," Journal of Financial Econometrics, Oxford University Press, vol. 12(1), pages 89-121, December.
- Hautsch, Nikolaus & Malec, Peter & Schienle, Melanie, 2010. "Capturing the zero: A new class of zero-augmented distributions and multiplicative error processes," SFB 649 Discussion Papers 2010-055, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
- Hautsch, Nikolaus & Malec, Peter & Schienle, Melanie, 2010. "Capturing the zero: A new class of zero-augmented distributions and multiplicative error processes," CFS Working Paper Series 2010/19, Center for Financial Studies (CFS).
- Hautsch, Nikolaus & Malec, Peter & Schienle, Melanie, 2011. "Capturing the zero: A new class of zero-augmented distributions and multiplicative error processes," CFS Working Paper Series 2011/25, Center for Financial Studies (CFS).
- Volker Krätschmer & Alexander Schied & Henryk Zähle, 2014. "Comparative and qualitative robustness for law-invariant risk measures," Finance and Stochastics, Springer, vol. 18(2), pages 271-295, April.
- Mammen, Enno & Rothe, Christoph & Schienle, Melanie, 2010. "Nonparametric regression with nonparametrically generated covariates," SFB 649 Discussion Papers 2010-059, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
- Darinka Dentcheva & Spiridon Penev & Andrzej Ruszczyński, 2017. "Statistical estimation of composite risk functionals and risk optimization problems," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 69(4), pages 737-760, August.
- repec:hum:wpaper:sfb649dp2010-059 is not listed on IDEAS
- Wiebach, Nicole & Hildebrandt, Lutz, 2010. "Context effects as customer reaction on delisting of brands," SFB 649 Discussion Papers 2010-056, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
- Schulze, Franziska, 2010. "Spatial dependencies in German matching functions," SFB 649 Discussion Papers 2010-054, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
- Lauer Alexandra & Zähle Henryk, 2016. "Nonparametric estimation of risk measures of collective risks," Statistics & Risk Modeling, De Gruyter, vol. 32(2), pages 89-102, March.
- Volker Kratschmer & Alexander Schied & Henryk Zahle, 2014. "Quasi-Hadamard differentiability of general risk functionals and its application," Papers 1401.3167, arXiv.org, revised Feb 2015.
- Kamal Boukhetala & Jean-François Dupuy, 2014. "Colloque International Book of Abstracts Edité par K. Boukhetala et J.F Dupuy," Post-Print hal-01086342, HAL.
- Bellini, Fabio & Rosazza Gianin, Emanuela, 2012. "Haezendonck–Goovaerts risk measures and Orlicz quantiles," Insurance: Mathematics and Economics, Elsevier, vol. 51(1), pages 107-114.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Krätschmer Volker & Schied Alexander & Zähle Henryk, 2015. "Quasi-Hadamard differentiability of general risk functionals and its application," Statistics & Risk Modeling, De Gruyter, vol. 32(1), pages 25-47, April.
- Volker Kratschmer & Alexander Schied & Henryk Zahle, 2014. "Quasi-Hadamard differentiability of general risk functionals and its application," Papers 1401.3167, arXiv.org, revised Feb 2015.
- Denis Belomestny & Volker Krätschmer, 2017. "Optimal Stopping Under Probability Distortions," Mathematics of Operations Research, INFORMS, vol. 42(3), pages 806-833, August.
- Darinka Dentcheva & Spiridon Penev & Andrzej Ruszczyński, 2017. "Statistical estimation of composite risk functionals and risk optimization problems," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 69(4), pages 737-760, August.
- Damiano Rossello, 2022. "Performance measurement with expectiles," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 45(1), pages 343-374, June.
- Akosah, Nana Kwame & Alagidede, Imhotep Paul & Schaling, Eric, 2020. "Testing for asymmetry in monetary policy rule for small-open developing economies: Multiscale Bayesian quantile evidence from Ghana," The Journal of Economic Asymmetries, Elsevier, vol. 22(C).
- Ahumada, Omar & Rene Villalobos, J. & Nicholas Mason, A., 2012. "Tactical planning of the production and distribution of fresh agricultural products under uncertainty," Agricultural Systems, Elsevier, vol. 112(C), pages 17-26.
- Chen, Yu & Ma, Mengyuan & Sun, Hongfang, 2023. "Statistical inference for extreme extremile in heavy-tailed heteroscedastic regression model," Insurance: Mathematics and Economics, Elsevier, vol. 111(C), pages 142-162.
- Otto-Sobotka, Fabian & Salvati, Nicola & Ranalli, Maria Giovanna & Kneib, Thomas, 2019. "Adaptive semiparametric M-quantile regression," Econometrics and Statistics, Elsevier, vol. 11(C), pages 116-129.
- Kume, Alfred & Hashorva, Enkelejd, 2012. "Calculation of Bayes premium for conditional elliptical risks," Insurance: Mathematics and Economics, Elsevier, vol. 51(3), pages 632-635.
- Said Khalil, 2022. "Expectile-based capital allocation," Working Papers hal-03816525, HAL.
- repec:hum:wpaper:sfb649dp2007-010 is not listed on IDEAS
- Parente, Paulo M.D.C. & Smith, Richard J., 2011.
"Gel Methods For Nonsmooth Moment Indicators,"
Econometric Theory, Cambridge University Press, vol. 27(1), pages 74-113, February.
- Paulo Parente & Richard Smith, 2008. "GEL methods for non-smooth moment indicators," CeMMAP working papers CWP19/08, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- Castañer, A. & Claramunt, M.M. & Lefèvre, C., 2013. "Survival probabilities in bivariate risk models, with application to reinsurance," Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 632-642.
- Bastianin, Andrea & Galeotti, Marzio & Manera, Matteo, 2014.
"Causality and predictability in distribution: The ethanol–food price relation revisited,"
Energy Economics, Elsevier, vol. 42(C), pages 152-160.
- Marzio GALEOTTI & Andrea BASTIANIN & Matteo MANERA, 2013. "Food versus Fuel: Causality and Predictability in Distribution," Departmental Working Papers 2013-10, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
- Andrea Bastianin & Marzio Galeotti & Matteo Manera, 2013. "Food versus Fuel: Causality and Predictability in Distribution," Working Papers 2013.23, Fondazione Eni Enrico Mattei.
- Andrea Bastianin & Marzio Galeotti & Matteo Manera, 2013. "Food versus Fuel: Causality and Predictability in Distribution," IEFE Working Papers 56, IEFE, Center for Research on Energy and Environmental Economics and Policy, Universita' Bocconi, Milano, Italy.
- Andrea Bastianin & Marzio Galeotti & Matteo Manera, 2013. "Food versus Fuel: Causality and Predictability in Distribution," Working Papers 241, University of Milano-Bicocca, Department of Economics, revised Mar 2013.
- Dingshi Tian & Zongwu Cai & Ying Fang, 2018. "Econometric Modeling of Risk Measures: A Selective Review of the Recent Literature," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201807, University of Kansas, Department of Economics, revised Oct 2018.
- Qinyu Wu & Fan Yang & Ping Zhang, 2023. "Conditional generalized quantiles based on expected utility model and equivalent characterization of properties," Papers 2301.12420, arXiv.org.
- Chunrong Ai & Oliver Linton & Kaiji Motegi & Zheng Zhang, 2021.
"A unified framework for efficient estimation of general treatment models,"
Quantitative Economics, Econometric Society, vol. 12(3), pages 779-816, July.
- Chunrong Ai & Oliver Linton & Kaiji Motegi & Zheng Zhang, 2018. "A Unified Framework for Efficient Estimation of General Treatment Models," Papers 1808.04936, arXiv.org, revised Aug 2018.
- Chunrong Ai & Oliver Linton & Kaiji Motegi & Zheng Zhang, 2019. "A Unified Framework for Efficient Estimation of General Treatment Models," CeMMAP working papers CWP64/19, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- Ai, C. & Linton, O. & Motegi, K. & Zhang, Z., 2019. "A Unified Framework for Efficient Estimation of General Treatment Models," Cambridge Working Papers in Economics 1934, Faculty of Economics, University of Cambridge.
- Sergei Koulayev & Marc Rysman & Scott Schuh & Joanna Stavins, 2016.
"Explaining adoption and use of payment instruments by US consumers,"
RAND Journal of Economics, RAND Corporation, vol. 47(2), pages 293-325, May.
- Sergei Koulayev & Marc Rysman & Scott Schuh & Joanna Stavins, 2012. "Explaining adoption and use of payment instruments by U. S. consumers," Working Papers 12-14, Federal Reserve Bank of Boston.
- Sergei Koulayev & Marc Rysman & Scott Schuh & Joanna Stavins, 2015. "Explaining adoption and use of payment instruments by U.S. consumers," Boston University - Department of Economics - Working Papers Series wp2015-004, Boston University - Department of Economics.
- Mohamed Amine Lkabous & Jean-François Renaud, 2018. "A VaR-Type Risk Measure Derived from Cumulative Parisian Ruin for the Classical Risk Model," Risks, MDPI, vol. 6(3), pages 1-11, August.
- Maziar Sahamkhadam, 2021. "Dynamic copula-based expectile portfolios," Journal of Asset Management, Palgrave Macmillan, vol. 22(3), pages 209-223, May.
More about this item
Keywords
law-invariant coherent risk measures; canonical plug-in estimates; functional central limit theorems; weak dependence;All these keywords.
JEL classification:
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:zbw:sfb649:sfb649dp2010-052. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/sohubde.html .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.